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Paper Citation Record · LEDGER

Exact solution of the Heat Equation for initial polynomials or splines

As of 13 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2411.15169.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2411.15169 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:09:14.711539Z

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy4
  • unresolved1
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ff18da96-7ddf-4091-be63-38850eae9efc · outbound

This paper cites Encyclopedia of Mathematics, encyclopediaofmath.org.

Exact solution of the Heat Equation for initial polynomials or splines Encyclopedia of Mathematics, encyclopediaofmath.org

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.815247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T21:09:14.686166Z digest=sha256:ec6c5d0f39271102ae817f9d8b535b49ca06c76c0fa40a979a769ebdd71daa2e

Observation 9f3e76c6-d248-4072-b77f-8fc9903f322f · outbound

This paper cites Encyclopedia of Mathematics, encyclopediaofmath.org.

Exact solution of the Heat Equation for initial polynomials or splines Encyclopedia of Mathematics, encyclopediaofmath.org

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.799265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T21:09:14.691028Z digest=sha256:1b317cbf8b426e3732d0299299dfc11449fb89e52ac83605c48aaa90b2621707

Observation a3e85560-8eaa-4103-9429-3a86a0f625e8 · outbound

This paper cites and Stegun I.A.

Exact solution of the Heat Equation for initial polynomials or splines and Stegun I.A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.784493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T21:09:14.696078Z digest=sha256:36d79fde22eff3195e442a66752432825a4ac6f0aaeeef1dff794eaa1201ebf6

Observation 10d700da-82ac-4691-87cd-54f0983f5062 · outbound

This paper cites Asymptotic behaviour methods for the Heat Equation. Convergence to the Gaussian.

Exact solution of the Heat Equation for initial polynomials or splines Asymptotic behaviour methods for the Heat Equation. Convergence to the Gaussian

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T21:09:14.702168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T21:09:14.702168Z digest=sha256:50c0808c35c73846b526e8fce44d3bf99ed222baeda716af17c478310a3d4e0e

Observation af8e9102-b81e-40ad-8de7-9b55744d064a · outbound

This paper cites Springer, NY (1998).

Exact solution of the Heat Equation for initial polynomials or splines Springer, NY (1998)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T21:09:14.770333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T21:09:14.707123Z digest=sha256:510222d6b7b12b44c799b04d9c271d282d120d05a1cea095dc9d518acce1f7b5

Observation fb2e10da-3862-411a-9554-b2ed50937c76 · outbound

This paper cites an unresolved cited work.

Exact solution of the Heat Equation for initial polynomials or splines Unresolved cited work

Reference 6

Resolution
malformed identifier
raw_fallback, observed 2026-08-12T21:09:14.755988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T21:09:14.711539Z digest=sha256:1656c3e65127919e6b48ef8bac3cea4f663b482094f5cba6bbcf0cc67737bad2

Pith citing papers

No inbound Pith citation observations are available.